A hardening model for representing the cyclic plasticity behavior is described. The concept of several yield is described. The concept of several linear hardening rule is surfaces, each of which obeys Prager's linear hardening rule is employed. The nonlinear stress-strain curve is idealized by piecewise segments. A finite element solution is combined with the present hardening model. The solution combines linear iterations with incremental procedure and equilibrium corrections. Numerical results are presented for a rectangular strip with cyclic dependent hardening properties. The influence of the number of iterations on the solution accuracy is checked and compared with alternative approach. Experimental results of a notched bar subjected to three cyclic loading conditions are compared with those predicted from a plane stress finite element model.